A group of 6 friends spent a total of p dollars on tickets to a concert. They spent no more than $15 each.
Which inequality could be used to find the possible values of p?
A. p/6 ≥ 15
B. 6p ≤ 15
C.6p ≥ 15
D.p/6≤ 15
The total amount that the friends spent on tickets is p dollars, and each of them spent no more than $15.
Let's assume that each friend spent exactly $15 on tickets. In that case, the total amount spent by all 6 friends would be 6 * $15 = $90.
Since the friends spent no more than $15 each, the total amount spent by all 6 friends can be any value less than or equal to $90.
Therefore, the correct inequality to find the possible values of p is:
6p ≤ 90.
But we want to express the inequality in terms of p rather than the total amount spent by all 6 friends.
Dividing both sides of the inequality by 6, we get:
p ≤ 90/6
Simplifying further:
p ≤ 15
Therefore, the correct answer is:
D. p/6 ≤ 15